Equilateral Triangle

**matgrl** · October 20th 2010, 09:15 AM

A point lies inside an equilateral triangle with sides of length s. Its distances from the 3 sides are x, y, and z. What can you say about x+y+z? Prove your answer.

I know how to build a diagram for this but I am stuck after that? Any ideas?

**Plato** · October 20th 2010, 10:30 AM

Is it true that the area of the whole triangle is $\displaystyle \frac{xs}{2}+\frac{ys}{2}+\frac{zs}{2}?$

**matgrl** · October 21st 2010, 04:19 AM

Yes if we are using an equilateral triangle then this must be true.

**Plato** · October 21st 2010, 04:37 AM

Originally Posted by matgrl

Yes if we are using an equilateral triangle then this must be true.

Well then what is the answer to the question?

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